Abdelkader, OsamaKhidr, Shaban2021-04-232021-04-232004-05-20Abdelkader, O., & Khidr, S. (2004). Solutions to ∂¯-equations on strongly pseudo-convex domains with Lᵖ-estimates. <i>Electronic Journal of Differential Equations, 2004</i>(73), pp. 1-9.1072-6691https://hdl.handle.net/10877/13426We construct a solution to the ∂¯-equation on a strongly pseudo-convex domain of a complex manifold. This is done for forms of type (0, s), for complex valued forms of type (r, s), 1 ≤ r ≤ n, when the complex manifold is a Stein manifold. Using Kerzman's techniques, we find the Lp-estimates, 1 ≤ p ≤ ∞, for the solution.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalL^p-estimatesArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.